We can simplify the given expression as follows:
√6 × 24 = √(6 × 24) = √144 = 12
√2 × √√12 = √(2 × 12) = √24 = 2√6
2√√48 = 2√(16 × 3) = 2 × 4√3 = 8√3
Now, let's substitute these simplified values in the expression:
√6 × 24 × √2 × √√12 - 3√8 + 2
= 12 × 2√6 × 2√6 - 3 × 2√2 + 2 [Substituting the simplified values]
= 144 - 12 + 2 [Simplifying the expression]
= 134
Therefore, the simplified value of the given expression is 134.
Questions presented well